Докладчик: Piotr Mormul (University of Warsaw, Warsaw, Poland)

Дата: 20th June 2014

Время: 13:00

Место: зал ученого совета ИПС

Аннотация:

Доклад будет на русском языке и осветит следующие вопросы:

• Integrable and nonintegrable distributions.
• Completely nonholonomic distributions.
• Nilpotent bases of generators of distributions — rare and precious. Sufficient condition for the local nilpotentizability of a distribution.
• Car+trailers’ systems and their [slow] motion planning.
• Question whether they are locally nilpotentizable.
• Those systems are Goursat; Kumpera-Ruiz (K-R) coordinates for them.
• Are all Goursat distributions locally nilpotentizable?
• Jean’s stratification for car+trailers’ vis a vis K-R stratification for Goursat distributions as such.
• K-R coordinates effectively produce nilpotent bases.
• The nilpotency orders of the resulting real nilpotent Lie algebras.
• Another kinematical model: car with two off-hooked trailers. Is it locally nilpotentizable?